Optimized geometric quantum computation with a mesoscopic ensemble of Rydberg atoms

Chen-Yue Guo, L.-L. Yan, Shou Zhang, Shi-Lei Su, and Weibin Li
Phys. Rev. A 102, 042607 – Published 16 October 2020

Abstract

We propose a nonadiabatic non-Abelian geometric quantum operation scheme to realize universal quantum computation with mesoscopic Rydberg atoms. A single control atom entangles a mesoscopic ensemble of target atoms through long-range interactions between Rydberg states. We demonstrate theoretically that both the single-qubit and two-qubit quantum gates can achieve high fidelities around or above 99.9% in ideal situations. Besides, to address the experimental issue of Rabi frequency fluctuation (Rabi error) in Rydberg atom and ensemble, we apply the dynamical-invariant-based zero systematic-error sensitivity (ZSS) optimal control theory to the proposed scheme. Our numerical simulations show that the average fidelity could be 99.98% for single ensemble qubit gate and 99.94% for two-qubit gate even when the Rabi frequency of the gate laser acquires 10% fluctuations. We also find that the optimized scheme can also reduce errors caused by higher order perturbation terms in deriving the Hamiltonian of the ensemble atoms. To address the experimental issue of decoherence error between the ground state and Rydberg levels in Rydberg ensemble, we introduce a dispersive coupling regime between Rydberg and ground levels, based on which the Rydberg state is adiabatically discarded. The numerical simulation demonstrate that the quantum gate is enhanced. By combining strong Rydberg atom interactions, nonadiabatic geometric quantum computation, dynamical invariant and optimal control theory together, our scheme shows another route to construct fast and robust quantum gates with mesoscopic atomic ensembles. Our study contributes to the ongoing effort in developing quantum information processing with Rydberg atoms trapped in optical lattices or tweezer arrays.

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  • Received 14 May 2020
  • Revised 17 August 2020
  • Accepted 9 September 2020

DOI:https://doi.org/10.1103/PhysRevA.102.042607

©2020 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Chen-Yue Guo1,2, L.-L. Yan1, Shou Zhang3, Shi-Lei Su1,*, and Weibin Li4

  • 1School of Physics, Zhengzhou University, Zhengzhou 450001, China
  • 2School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
  • 3Department of Physics, Yanbian University, Yanji 133002, China
  • 4School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, United Kingdom

  • *slsu@zzu.edu.cn

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Vol. 102, Iss. 4 — October 2020

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